Respuesta :
The recursive function is A(t + 1) = A(t) - 75
Where;
A(t) = 1,200 - 75×t
The known parameter are;
The amount Rebecca buys the new couch = $1,200
The amount she plans to make as monthly payment = $75
The time she plans to start paying = The month after she buys the couch
Strategy;
Define a recursive function that models the amount of money Rebecca still has to pay
Definition
A recursive function is one which has its own process as an input in the process of its implementation
A recursive function that models the amount of money Rebecca still has to pay for the couch is found as follows;
The amount left for her to pay in the present month = The amount left to pay in the previous month - $75
Let A(t + 1) represent the amount left for her to pay in the present month and let A(t) represent the amount left to pay in the previous month, we get;
A(t) = 1,200 - 75×t
A(t + 1) = 1,200 - 75×t - 75 = A(t) - 75
The recursive function is A(t + 1) = A(t) - 75
The function is recursive because, the function, A(t), is called in as an input to the execution of the function
Learn more about recursive functions here;
https://brainly.com/question/13657607
Answer:
f(1) = 1,200
f(n) = f(n-1) -75 for n > 2
Step-by-step explanation:
Since the initial loan amount is $1,200, f(1) =1200.
And since $75 is deducted from the balance each month starting with n >2 , the common difference, d, is -75 .
Use the general recursive function for an arithmetic sequence,f(n)= f (n - 1 ) +d , for n > 2 to write the recursive function models Rebecca’s situation:
